Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a company makes steel rods shaped like cylinders. each rod has a radius…

Question

a company makes steel rods shaped like cylinders. each rod has a radius of 3 centimeters and a height of 40 centimeters. how much steel will the company need to make 131 rods?
use 3.14 for π, and do not round your answer.

Explanation:

Step1: Find volume of one cylinder

The formula for the volume of a cylinder is $V = \pi r^2 h$. Given $r = 3$ cm, $h = 40$ cm, and $\pi = 3.14$.
Substitute the values: $V = 3.14\times3^2\times40$.
First, calculate $3^2 = 9$. Then, $3.14\times9 = 28.26$. Then, $28.26\times40 = 1130.4$ $cm^3$. So the volume of one rod is $1130.4$ $cm^3$.

Step2: Find volume of 131 rods

Multiply the volume of one rod by 131: $1130.4\times131$.
Calculate $1130.4\times131 = 148082.4$.

Answer:

$148082.4$ cubic centimeters